LINEAR AUTOMORPHISMS OF SMOOTH HYPERSURFACES GIVING GALOIS POINTS

摘要

Let X be a smooth hypersurface X of degree d ≥ 4 in a projective space P n+1.We consider a projection of X from p ∈ P n+1 to a plane H ～= P n.This projection induces an extension of function fields C(X)/C(P n).The point p is called a Galois point if the extension is Galois.In this paper, we will give necessary and sufficient conditions for X to have Galois points by using linear automorphisms.